What is the total impedance ZT of a series network consisting of a 5 Ω resistor, an inductor having 10 Ω reactance, and a capacitor with 15 Ω reactance?

Question

What is the total impedance ZT of a series network consisting of a 5 Ω resistor, an inductor having 10 Ω reactance, and a capacitor with 15 Ω reactance?
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Solution 1

The total impedance (ZT) of a series network consisting of a resistor (R), an inductor (L), and a capacitor (C) can be calculated using the formula:

ZT = sqrt[(R^2) + (XL - XC)^2]

where:

  • R is the resistance,
  • XL is the reactance of the inductor, and
  • XC is the reactance of the capacitor.

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